Do you really think something so elegantly designed is just a random occurrence?

Yup.

Try to write down 1 million random simple mathematical equations, I bet you at least one of them will produce an infinitely complex system. If you sit for an hour and just push random keys on the keyboard you will never write out a Shakespeare sonnet, but you will write out a few 3, 4 and maybe 5 letters words by chance, if you try enough systems you will also happen upon a few simple ones that produce something useful - that is the nature of the random, the simple is much more likely to happen than the complex - so simple rules point to a simple cause.